1. [-11 Points] I DETAILS I JKESTAT116.E.045. Find 2, given the following. (Give your answer correct to two decimal places.) x=59,u=47andcr=5.2 2. [l1 Points] DET S JKESTAT11 6.E.046. Find 2, given the following. (Give your answer correct to two decimal places.) X=249,,u=225 ando= 12.2 z=:i You may need to use the appropriate table in Appendix B to answer this question. 3. [-12 Points] DETAILS JKESTAT11 6.E.049. IQ scores in a certain population are normally distributed with a mean of 95 and a standard deviation of 13. (Give your answers correct to four decimal places.) (a) Find the probability that a randomly selected person will have an IQ score between 83 and 109. :i (b) Find the probability that a randomly selected person will have an IQ score above 92. :l 4. [/2 Points] DETAILS JKESTAT11 6.E.059. A brewery's filling machine is adjusted to fill bottles with a mean of 32.4 oz. of ale and a variance of 0.004. Periodically, a bottle is checked and the amount of ale noted. (a) Assuming the amount of fill is normally distributed, what is the probability that the next randomly checked bottle contains more than 32.44 02? (Give your answer correct to four decimal places.) :1 (b) Let's say you buy 105 bottles of this ale for a party. How many bottles would you expect to find containing more than 32.44 oz. of ale? (Round your answer up to the nearest whole number.)